grandes-ecoles 2022 Q16

grandes-ecoles · France · centrale-maths2__mp Sequences and Series Evaluation of a Finite or Infinite Sum

Explicitly determine $F^{\prime\prime}(x)$, where $F(x) = \sum_{n=1}^{+\infty} f_n(x)$ and $f_n^{\prime\prime}(x) = (-1)^n 2^{-nx^2}$.

Explicitly determine $F^{\prime\prime}(x)$, where $F(x) = \sum_{n=1}^{+\infty} f_n(x)$ and $f_n^{\prime\prime}(x) = (-1)^n 2^{-nx^2}$.